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How do you tell whether a graph shows a constant or variable rate of change?

The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.


Is the first derivative of a function is a constant then its graph is?

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.


How do you know if a function has a constant or variable rate of change?

If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.


Why is the distance time graph a straight line for?

A straight line on a distance - time graph represents a "constant velocity".


How do you create a straight line that slopes up on a position-time graph?

A straight line with a positive slope on a position-time graph is the graph of an object that's moving in a straight line with constant speed.


How can a position time graph show if an object has constant acceleration?

In that case, the graph would be a straight line.In that case, the graph would be a straight line.In that case, the graph would be a straight line.In that case, the graph would be a straight line.


How is constant speed shown on a graph?

Constant speed is shown on a graph using straight lines. The straight line indicates that there are no fluctuations with the speed.


How do you graph a constant?

The graph of y = c, a constant will be a straight line parallel to the x-axis and c units from it..


What is the distance-time graph for constant speed?

straight line


What is a graph of uniform velocity?

A graph of uniform velocity would be a straight line with a constant slope, indicating that the object is moving at a constant speed in a straight line without changing its velocity.


What will you say about motion of body if distance time graph is straight line having constant angel with time axis?

If the distance/time graph is a straight line that makes a constant angel with the time axis, then the body's speed is constant, and is equal to the slope of the straight line (tangent of the constant angel).


A straight line on a distance time graph represents what type of speed?

A straight line on a distance/time graph means that the speed is constant. In every unit of time the distance increases by the same amount.